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84464023644 = 223471113312271
BaseRepresentation
bin100111010101001110…
…0101011100001011100
322002000102221222020000
41032222130223201130
52340440242224034
6102445141054300
76050045232540
oct1165234534134
9262012858200
1084464023644
1132903815120
12144529b7390
137c70c23320
14413399ba20
1522e5352599
hex13aa72b85c

84464023644 has 720 divisors, whose sum is σ = 307468643328. Its totient is φ = 19525536000.

The previous prime is 84464023583. The next prime is 84464023661. The reversal of 84464023644 is 44632046448.

It is a self number, because there is not a number n which added to its sum of digits gives 84464023644.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 311675229 + ... + 311675499.

Almost surely, 284464023644 is an apocalyptic number.

84464023644 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84464023644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153734321664).

84464023644 is an abundant number, since it is smaller than the sum of its proper divisors (223004619684).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

84464023644 is a wasteful number, since it uses less digits than its factorization.

84464023644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 45.

The spelling of 84464023644 in words is "eighty-four billion, four hundred sixty-four million, twenty-three thousand, six hundred forty-four".